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Finding the Fourth Proportional to 111.78, 154.31 and 82.76

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Solution

The fourth proportional to 111.78, 154.31 and 82.76 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 154.31 = 82.76 : x
  2. Step 2: Convert to fraction form
    111.78/154.31 = 82.76/x
  3. Step 3: Cross multiply
    111.78x = 154.31 × 82.76
  4. Step 4: Simplify right side
    111.78x = 12,770.70
  5. Step 5: Solve for x
    x = 12,770.70/111.78
  6. Step 6: Final answer
    x = 114.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.